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2306720 = 255131109
BaseRepresentation
bin1000110011001010100000
311100012020002
420303022200
51042303340
6121235132
725415063
oct10631240
94305202
102306720
111336089
12932aa8
13629c30
144408da
15308715
hex2332a0

2306720 has 48 divisors (see below), whose sum is σ = 5874120. Its totient is φ = 850944.

The previous prime is 2306677. The next prime is 2306737. The reversal of 2306720 is 276032.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 1607824 = 836^2 + 1268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2306692 and 2306701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1526 + ... + 2634.

22306720 is an apocalyptic number.

2306720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937060).

2306720 is an abundant number, since it is smaller than the sum of its proper divisors (3567400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2306720 is a wasteful number, since it uses less digits than its factorization.

2306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2306720 is about 1518.7889912690. The cubic root of 2306720 is about 132.1290442969.

The spelling of 2306720 in words is "two million, three hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1109 2080 2218 4436 5545 8872 11090 14417 17744 22180 28834 35488 44360 57668 72085 88720 115336 144170 177440 230672 288340 461344 576680 1153360 2306720